Global existence and uniqueness of a reaction–diffusion system via invariant solutions

DOI10.1016/0362-546X(94)90147-3zbMath0818.35044MaRDI QIDQ4322173

Yuan-wei Qi

Publication date: 28 August 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

self-similar solutionsground statesweakly coupled parabolic system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57)

Related Items

Blow-Up vs. Global Existence for a Fujita-Type Heat Exchanger System, Asymptotics of solutions of some nonlinear elliptic systems, ASYMPTOTIC SELF-SIMILAR BEHAVIOR OF SOLUTIONS FOR A SEMILINEAR PARABOLIC SYSTEM, Global existence, asymptotic behavior and self-similar solutions for a class of semilinear parabolic systems, The existence of ground states to a weakly coupled elliptic system.

Cites Work

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• A very singular solution of the heat equation with absorption
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• Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation
• On the equation \(\Delta u+x\cdot \nabla u+f(u)=0\)
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